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Simplifying -1(2v + 2) = -12 + -7v Reorder the terms: -1(2 + 2v) = -12 + -7v (2 * -1 + 2v * -1) = -12 + -7v (-2 + -2v) = -12 + -7v Solving -2 + -2v = -12 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -2 + -2v + 7v = -12 + -7v + 7v Combine like terms: -2v + 7v = 5v -2 + 5v = -12 + -7v + 7v Combine like terms: -7v + 7v = 0 -2 + 5v = -12 + 0 -2 + 5v = -12 Add '2' to each side of the equation. -2 + 2 + 5v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5v = -12 + 2 5v = -12 + 2 Combine like terms: -12 + 2 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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